The velocity of a wave is given by $v = \sqrt{\frac{T}{\mu}} + ax^2$, where $T$ is tension, $\mu$ is linear density, and $x$ is displacement. What are the dimensions of $a$?

If the equation $P = \frac{F}{A}$ is dimensionally homogeneous, where $P$ is pressure, $F$ is force, and $A$ is area, what are the dimensions of pressure?

If the units of mass, length and time are doubled, unit of angular momentum will be

Which of the following equations is dimensionally homogeneous?

Which of the following physical quantities has neither dimensions nor unit?

If $x = a + bt^2$, where $x$ is in meters and $t$ is in seconds, what are the dimensions of $b$?

The dimensions of calorie are

A calorie is a unit of heat and equal 4.2 J. Suppose we employ a system of units in which the unit of mass is $\alpha$ kg, the unit of length is $\beta$ metre and the unit of time is γ sec. In this new system. 1 calorie =

Which of the following equations is dimensionally inconsistent?

What will be the unit of time in that system in which the unit of length is metre, unit of mass is kg and unit of force is kg wt?

If the units of mass, length and time are doubled, unit of angular momentum will be